Chaotic Waveguide-Based Resonators for Microlasers

Abstract

We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as {\it open} resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the appropiate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasi bound states (QBS) which, in turn, propitiate the lasing mechanism. The energy values of the QBS are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.

5 pages, 5 figures

References in corpus (4)

• Isolated resonances in conductance fluctuations and hierarchical states
• Understanding quantum scattering properties in terms of purely classical dynamics. 2D open chaotic billiards
• Chaotic Electron Motion in Superlattices. Quantum-Classical Correspondence of the Structure of Eigenstates and LDOS
• Directional Emission from Microlasers with Open Chaotic Resonators

Cited by in corpus (5)

• Chaotic dynamics of the elliptical stadium billiard in the full parameter space
• Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards
• Study of the resistivity in a channel with dephased ripples
• Phenomenological approach to transport through three-terminal disordered wires
• Design of switches and beam splitters using chaotic cavities